Okay kiddo, so let's say you have a bunch of numbers and you want to do some things with them like adding, subtracting, and multiplying. Aw*-algebra is a way to make sure you can do these things without making any mistakes.
In aw*-algebra, we have something called an "operator" which is like a symbol that tells us what to do with the numbers. For example, the "+" symbol means we should add the numbers and the "-" symbol means we should subtract them.
But aw*-algebra is special because it also has something called an "involution" which is like a fancy word for an opposite operation. For example, the involution of addition (or opposite operation) is subtraction and the involution of multiplication is division.
We also use something called an "adjoint" in aw*-algebra which is like a way to switch the order of operations. This helps us to make sure we do things in the right order and get the correct answers.
So basically, aw*-algebra helps us to work with numbers in a really organized way so we don't make any mistakes when we add, subtract, or multiply them.